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Finding the Fourth Proportional to 484,825.40, 727,238.10 and 129,830.30

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Solution

The fourth proportional to 484,825.40, 727,238.10 and 129,830.30 is: 194,745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,825.40 : 727,238.10 = 129,830.30 : x
  2. Step 2: Convert to fraction form
    484,825.40/727,238.10 = 129,830.30/x
  3. Step 3: Cross multiply
    484,825.40x = 727,238.10 × 129,830.30
  4. Step 4: Simplify right side
    484,825.40x = 94,417,540,694.43
  5. Step 5: Solve for x
    x = 94,417,540,694.43/484,825.40
  6. Step 6: Final answer
    x = 194,745.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.